The break-even point is the level of sales at which total revenue equals total costs, resulting in zero profit and zero loss. Knowing your break-even point is essential for pricing decisions, business planning, and understanding how much you need to sell to cover your costs.
The break-even formula
Break-Even Point (units) = Fixed Costs / (Selling Price per Unit - Variable Cost per Unit)
The denominator, selling price minus variable cost, is called the contribution margin per unit. It represents how much each unit sold contributes toward covering fixed costs.
Break-Even Point (revenue) = Fixed Costs / Contribution Margin Ratio
Where contribution margin ratio = contribution margin per unit / selling price per unit.
Understanding cost types
| Cost type | Definition | Examples |
|---|---|---|
| Fixed costs | Costs that do not change with production volume | Rent, salaries, insurance, loan payments |
| Variable costs | Costs that increase proportionally with each unit produced | Raw materials, packaging, shipping, sales commissions |
Some costs are semi-variable (e.g., electricity with a base charge plus usage). For break-even analysis, allocate these into their fixed and variable components.
Worked example
A company manufactures phone cases with the following cost structure:
| Item | Amount |
|---|---|
| Monthly fixed costs | $15,000 |
| Selling price per case | $25 |
| Variable cost per case | $10 |
Contribution margin per unit = $25 - $10 = $15
Break-even point (units) = $15,000 / $15 = 1,000 cases per month
Break-even point (revenue) = 1,000 x $25 = $25,000 per month
The company must sell at least 1,000 cases per month to cover all costs. Every case sold beyond 1,000 generates $15 of profit.
Visualising break-even
At different sales volumes:
| Units sold | Revenue | Total costs | Profit / Loss |
|---|---|---|---|
| 500 | $12,500 | $20,000 | -$7,500 |
| 800 | $20,000 | $23,000 | -$3,000 |
| 1,000 | $25,000 | $25,000 | $0 (break-even) |
| 1,200 | $30,000 | $27,000 | +$3,000 |
| 1,500 | $37,500 | $30,000 | +$7,500 |
Margin of safety
The margin of safety measures how far current sales are above the break-even point, expressed as a percentage.
Margin of Safety = (Actual Sales - Break-Even Sales) / Actual Sales x 100
If the company sells 1,500 cases: Margin of Safety = (1,500 - 1,000) / 1,500 x 100 = 33.3%
This means sales could decline by 33.3% before the company starts losing money. A higher margin of safety provides greater resilience against downturns.
How to lower your break-even point
Reduce fixed costs. Negotiate lower rent, outsource non-core functions, or switch to remote working arrangements. Every reduction in fixed costs directly lowers the break-even threshold.
Reduce variable costs. Negotiate better supplier terms, improve production efficiency, or reduce packaging costs. This increases the contribution margin per unit.
Increase selling price. If the market allows, raising prices increases the contribution margin. However, price increases may reduce demand, so test carefully.
Change the product mix. If you sell multiple products, shifting sales toward higher-margin products lowers the overall break-even point.
Multi-product break-even analysis
Most businesses sell more than one product. For multi-product analysis, calculate a weighted average contribution margin based on the expected sales mix.
| Product | Price | Variable cost | Margin | Sales mix |
|---|---|---|---|---|
| Case A | $25 | $10 | $15 | 60% |
| Case B | $40 | $18 | $22 | 40% |
Weighted average margin = ($15 x 0.6) + ($22 x 0.4) = $9 + $8.80 = $17.80
Break-even units = $15,000 / $17.80 = 843 total units (506 of Case A, 337 of Case B).